Fluid signatures in the MHD approximation at rotational discontinuities (RD) of finite width called rotational shear layers (RSL) are examined for general flow and magnetic geometries. Analytical and geometrical arguments illustrate that the fluid speed can either go up or down across an RSL for a fixed normal mass flux. The speed profile may or may not be monotonic with the phase of the magnetic rotation depending on the boundary conditions. The flow velocity may or may not be field aligned or “jetting”
as a result of traversing the RSL. In general, significant “convection” is expected in the layer. The observable signatures of (MHD) RSL's depend on seven (boundary condition) parameters: (1) the mass density, (2)–(5) the incident normal and transverse components of the magnetic field and fluid velocity, (6) the angle ε between the incident tangential flow velocity and tangential magnetic field, and (7) the size of the magnetic angular rotation implemented by the layer Δϕ. This general survey illustrates the singular character of the Petschek geometry and that the model predictions of jetting and monotonic speed increases through the layer may not be used as general signatures of RSL's. This is especially true along the Levy, Petschek, and Siscoe curved magnetopause boundary, where the fluid flow, Δϕ, and ε are generally all different from the Petschek regime. Accordingly, the lack of observed speed increases across the magnetopause can no longer be used by itself to infer that the magnetopause is locally closed. Of the spectrum of MHD RSL's that are possible, the “accelerating” ones require special boundary conditions most generally occurring near the nose of the magnetopause; the “decelerating” RSL's become increasingly more probable at magnetopause crossings removed from the subsolar point. Documented RSL's have been located within the spectrum of possible signatures; the number of RSL's reported to date implies only a lower bound for their frequency of occurrence, since surveys conducted to date have excluded the decelerating ones.